The paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.

本文给出的半正定二次型的若干判别方法及半正定对应系数矩阵的一些相关性质。

This paper proves some Hadamard inequalities from the qualities of positive definite quadratic form.

利用正定二次型的性质，给出阿达马不等式的证明。

It wishes to find a new way for normative research into the concept of generalized positive definite matrix .

希望为广义正定矩阵概念的规范化探出一条新路。

Moreover, the condition is also sufficient if the positive definite matrix is included in this set.

当这个集合中包含有正定矩阵时, 上述必要条件也是充分的.

Results linear complementary problem have unique solution when M is generalized positive definite matrix.

结果得到了当M是广义正定矩阵时,线性互补问题存在唯一解.